Work Text:
chi square is beloved by all, really, even the stupid ass scientists that created that fuckass hardy weinberg equilibrium. SO loved that it’s got people rolling up on applications and auditions to be accepted by its null hypothesis. to start, 2 hot bombshells enter the villa; probability of byler, and probability of hucklerobby.
chi square only accepts if these bombshells meet a critical value of .05, the norm, essentially saying chi square is 95% sure she wants to be with them.
byler has two possible probabilities: byler OR mileven.
as part of the application, we must take away one from these two possibilities, resulting in a degree of freedom of 1 which, as per the given table, results in a 3.84 chi square value.
next is the expected value of either byler and mileven. there is a 50/50 chance of either occurring, and this simulation is done about 100 times. our expected value is for byler to occur 50 times, with mileven occurring 50 as well. however, it then falls under our observed data of what REALLY happens in the villa.
Mileven occurs 79 times, whereas byler occurs only 21 times…. (sad i know).
as per the chi square application, the byler probability must use their observed data of 21 minus their expected data of 50– resulting in -29. they must then square this data, it being 841.
BUTTTTT we need to include the value of mileven too (womp womp)— to get the true Chi square value, to see if she really wants to take the risk of even sparing ‘byler probability’ a chance.
and so, the same thing happens with mileven. their observed, 79, minus their expected, 50, giving us 29. after squaring being 841.
NOW we add, with it being (841/50) + (841/50) which equals to 33.64– our CHI SQAURE VALUE (what held our girl Chi square to see if this thing is even worth her time)
back to the initial critical value of 3.84 we talked about, the absolute MAX someone can go to reach her standards, basically if you’re over REJECTEDDDD!! if you’re under, accepted!
clearly 33.64 is WAYYY over 3.84, and because of the probability of mileven, miss chi square has REJECTED the null hypothesis since ‘byler probability’ isn’t in a statistical range of value to what it’s supposed to be in (boooooo)
but what about hucklerobby? it’s basically the same thing, except hucklerobby is way hotter and better in every way.
again, two probabilitie: hucklerobby OR whittaker and amy, only this time (after 100 simulations like byler) huckle robby happens 55 times with whittaker and amy only happening 45 times.
with the same math and applications, hucklerobby is (58-50) squared > 64/50
whittaker and amy is (42-50) squared > 64/50
adding those up and dividing by our expected of 50 being: 2.56
since 2.56 is BELOW 3.84, that means hucklerobby is indeed worth Chi squares investment, time, and effort! therefore: null hypothesis accepted!!
in the end, due to the fatal rejection, byler has gone down to the depths of rejection with pop culture— only appearing when sad editors feel like sharing their misery. however, hucklerobby on the other hand has receive major major love from more edits, quinn audios, ao3 notes, etc because of their acceptance!
chi square and hucklerobby live happily ever after the end :3